Asked by l

Point upper E has coordinates left parenthesis negative 1 comma 5 right parenthesis. Point upper F has coordinates left parenthesis 2 comma 8 right parenthesis. Point upper G has coordinates left parenthesis 4 comma 4 right parenthesis. Point upper H has coordinates left parenthesis 1 comma 1 right parenthesis.


Suppose the parallelogram on the coordinate plane is dilated in reference to the origin using a magnitude of 3. What would be the coordinates of the new vertices of E′F′G′H′
?

(1 point)
Responses

E′(2,8)
, F′(5,11)
, G′(7,7)
and H′(4,4)
upper E prime left parenthesis 2 comma 8 right parenthesis , upper F prime left parenthesis 5 comma 11 right parenthesis , upper G prime left parenthesis 7 comma 7 right parenthesis and upper H prime left parenthesis 4 comma 4 right parenthesis

E′(−13,53)
, F′(23,83)
, G′(43,43)
and H′(13,13)
upper E prime left parenthesis negative Start Fraction 1 over 3 End Fraction comma Start Fraction 5 over 3 End Fraction right parenthesis , upper F prime left parenthesis Start Fraction 2 over 3 End Fraction comma Start Fraction 8 over 3 End Fraction right parenthesis , upper G prime left parenthesis Start Fraction 4 over 3 End Fraction comma Start Fraction 4 over 3 End Fraction right parenthesis and upper H prime left parenthesis Start Fraction 1 over 3 End Fraction comma Start Fraction 1 over 3 End Fraction right parenthesis

E′(−3,15)
, F′(6,24)
, G′(12,12)
and H′(3,3)
upper E prime left parenthesis negative 3 comma 15 right parenthesis , upper F prime left parenthesis 6 comma 24 right parenthesis , upper G prime left parenthesis 12 comma 12 right parenthesis and upper H prime left parenthesis 3 comma 3 right parenthesis

E′(−4,2)
, F′(−1,5)
, G′(1,1)
and H′(−2,−2)


The vertices of the triangle are located as follows: upper X at left parenthesis 2 comma 4 right parenthesis, upper Y at left parenthesis 6 comma 0 right parenthesis, and upper Z at left parenthesis 7 comma 2 right parenthesis.


If you dilate triangle XYZ
to form X′Y′Z′
using a magnitude of 2 and a center of dilation at (2,0)
, what are the coordinates of the dilated triangle?

(1 point)
Responses

X′(2,8)
, Y′(10,0)
, Z′(12,4)
upper X prime left parenthesis 2 comma 8 right parenthesis , upper Y prime left parenthesis 10 comma 0 right parenthesis , upper Z prime left parenthesis 12 comma 4 right parenthesis

X′(6,4)
, Y′(10,0)
, Z′(11,4)
upper X prime left parenthesis 6 comma 4 right parenthesis , upper Y prime left parenthesis 10 comma 0 right parenthesis , upper Z prime left parenthesis 11 comma 4 right parenthesis

X′(2,6)
, Y′(8,0)
, Z′(9.5,3)
upper X prime left parenthesis 2 comma 6 right parenthesis , upper Y prime left parenthesis 8 comma 0 right parenthesis , upper Z prime left parenthesis 9.5 comma 3 right parenthesis

X′(2,2)
, Y′(4,0)
, Z′(4.5,1)


What type of transformation uses a scale factor to change the size of a figure?(1 point)
Responses

a dilation
a dilation

a reflection
a reflection

a rotation
a rotation

a translation

All Answers 1

Answered by GPT-5 mini AI
1) E′(−3,15), F′(6,24), G′(12,12), H′(3,3)

2) X′(2,8), Y′(10,0), Z′(12,4)

3) a dilation